A Theoretical Study of Indentation with an Oblate Spheroid Shape
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Date
2016-08
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Publisher
Université de M'sila
Abstract
In this study, firstly we introduced general
mathematical concepts related to the geometrical form of
ellipse and ellipsoid. Secondly, the hardness was calculated
when we used an indenter having a geometrical shape of an
oblate spheroid; the mathematical expressions of static
hardness were determined as functions of the applied load,
the radius or the depth of the imprint area. The general
static hardness formula was expressed considering the
projected and the real area imprint of the oblate spheroid
indenter. Thirdly mathematical assumptions were introduced
in order to simplify the mirohardness and
nanohardness formulas when we used the real imprint area.
Finally we did a comparative study between the oblate
spheroid and the spherical indenters.
Description
Keywords
Hardness measurement Mechanical characterization Indenter Geometrical modeling Mathematical formulas